具有Mobius边界条件的反铁磁自旋1/2阶梯的一般CFT模型
A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
摘要:
我们展示了如何在[1]中发展的m-约化过程的框架下,在封闭几何上具有一般各向异性参数$Δ$的2-腿XXZ自旋1/2阶梯的低能性质。在准解耦链的极限下,导出了中心荷c=2的共形场论(CFT),并证明了它能描述不同边界条件下的模型.特别强调的是莫比乌斯边界条件产生的拓扑缺陷对应于非平凡的单自旋激发。然后,在2-腿XXX梯子的情况下,我们详细讨论了各种微扰的作用,在确定的重整化群流从紫外(UV)临界点与c=2。
英文摘要:
We show how the low-energy properties of the 2-leg XXZ spin-1/2 ladders with general anisotropy parameter $Δ$ on closed geometries can be accounted for in the framework of the m-reduction procedure developed in [1]. In the limit of quasi-decoupled chains, a conformal field theory (CFT) with central charge c=2 is derived and its ability to describe the model with different boundary conditions is shown. Special emphasis is given to the Mobius boundary conditions which generate a topological defect corresponding to non trivial single-spinon excitations. Then, in the case of the 2-leg XXX ladders we discuss in detail the role of various perturbations in determining the renormalization group flow starting from the ultraviolet (UV) critical point with c=2.
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